Finding the Third Proportional to 12,201 and 17,835

Step by Step Solution

1. Step 1: Write the proportion equation
   12,201 : 17,835 = 17,835 : x
2. Step 2: Convert to fraction form
   12,201/17,835 = 17,835/x
3. Step 3: Cross multiply
   12,201x = 17,835 × 17,835
4. Step 4: Simplify right side
   12,201x = 318,087,225
5. Step 5: Solve for x
   x = 318,087,225/12,201
6. Step 6: Final answer
   x = 26,070.59